theta. Temperature of ring polymers: another evidence of topological

Feb 23, 1989 - (TV - p + 1)6-* + 0(w2) p=i. „ can be calculated combinatorally; the result is ..... 0 Computed with use of eq 24 in the region z < 0...
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Macromolecules 1989,22, 3702-3706

3702 cij

-- @+i-jy.

,

It has been established8s9that each coefficient such as Q N in eq A9 can be written as a power series in N-II2;via a straightforward least-squares fit we have obtained:

(A4’)

1-1

where we let rn represent the number of unique closed paths of length n on the lattice. It follows that

C

= 6N[1- ~ X 6 ~ - J r j -+i ]O ( d )

QN

645)

and therefore, that the free energy is given by

+

+ O(w2)

i